circular permutations

Question

The number of ways in which 6 persons can be seated around a circular table is

RankGuru · Accepted Answer

1. **Core Concept**: In a circular arrangement, rotations are considered identical. To break the symmetry, we fix one person's position.
2. **Formula**: The number of circular permutations of $n$ distinct objects is $(n-1)!$.
3. **Substitution**: For $n=6$, Ways $= (6-1)! = 5!$.
4. **Calculation**:
   - $5 	imes 4 	imes 3 	imes 2 	imes 1 = 120$.
5. **Result**: 120 ways.

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circular permutations

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More circular permutations Practice Questions

In how many ways can 5 beads of different colors be arranged to form a necklace?